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Finding the Fourth Proportional to 214,264.28, 320,978.10 and 101,784.44

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Solution

The fourth proportional to 214,264.28, 320,978.10 and 101,784.44 is: 152,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,264.28 : 320,978.10 = 101,784.44 : x
  2. Step 2: Convert to fraction form
    214,264.28/320,978.10 = 101,784.44/x
  3. Step 3: Cross multiply
    214,264.28x = 320,978.10 × 101,784.44
  4. Step 4: Simplify right side
    214,264.28x = 32,670,576,160.76
  5. Step 5: Solve for x
    x = 32,670,576,160.76/214,264.28
  6. Step 6: Final answer
    x = 152,477.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.